Abstract

We study the quantum many-body dynamics and entropy production triggered by an interaction quench of few dipolar bosons in an external harmonic trap. We solve the time-dependent many-body Schrödinger equation by using an in-principle numerically exact many-body method called the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study the dynamical measures with high level of accuracy. We monitor the time evolution of the occupation in the natural orbitals and normalized first- and second-order Glauber’s correlation functions. In particular, we focus on the relaxation dynamics of the Shannon entropy. Comparison with the corresponding results for contact interactions is presented. We observe significant effects coming from the presence of the non-local part of the dipolar interaction. The relaxation process is very fast for dipolar bosons with a clear signature of a truly saturated maximum entropy state. We also discuss the connection between the entropy production and the occurrence of correlations and loss of coherence in the system. We identify the long-time relaxed state as a many-body state retaining only diagonal correlations in the first-order correlation function and building up anti-bunching effect in the second-order correlation function.

Graphical abstract

中文翻译：

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具有偶极相互作用的俘获相互作用玻色子的香农熵弛豫

摘要

我们研究了由外部谐波陷阱中少数偶极玻色子的相互作用猝灭触发的量子多体动力学和熵产生。我们通过使用一种原理上精确的数值精确多体方法（称为多重配置玻色子时变Hartree方法）来求解时间相关的多体Schrödinger方程。我们以高水平的精度研究动力措施。我们监测自然轨道中职业的时间演变以及标准化的一阶和二阶Glauber的相关函数。特别地，我们关注香农熵的弛豫动力学。提出了与接触相互作用的相应结果的比较。我们观察到偶极相互作用的非局部部分的存在会产生重大影响。具有偶极玻色子的弛豫过程非常快，具有真正饱和的最大熵态的清晰特征。我们还讨论了熵产生与系统中相关性的发生和相干性损失之间的联系。我们将长时间松弛状态确定为一个多体状态，该状态仅保留一阶相关函数中的对角线相关性，并在二阶相关函数中建立反聚束效果。

图形概要